Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD16×D523 |
| Fitting | SD16×C523 ⋊ C2 |
| Sylow | C523 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4184 |
1841 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×SD16×D523, #135×D523, AGL(1,ℤ/8)×D523, … |
| maximal normal subgroup of | C2×SD16×D523, #135×D523, AGL(1,ℤ/8)×D523, … |
| maximal quotient of | #102×D523, #103×D523, #106×D523, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 158);